653281328 has 60 divisors (see below), whose sum is σ = 1536441840. Its totient is φ = 267797376.

The previous prime is 653281283. The next prime is 653281333. The reversal of 653281328 is 823182356.

It is a junction number, because it is equal to n+sod(n) for n = 653281291 and 653281300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83 + ... + 36146.

It is an arithmetic number, because the mean of its divisors is an integer number (25607364).

Almost surely, 2^653281328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653281328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768220920).

653281328 is an abundant number, since it is smaller than the sum of its proper divisors (883160512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

653281328 is a wasteful number, since it uses less digits than its factorization.

653281328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36274 (or 36261 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 653281328 is about 25559.3686932991. The cubic root of 653281328 is about 867.6943078934.

The spelling of 653281328 in words is "six hundred fifty-three million, two hundred eighty-one thousand, three hundred twenty-eight".